Atkin-Lehner |
2+ 3- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090bf |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
4718592 |
Modular degree for the optimal curve |
Δ |
-5.760016019628E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1451835,-1336312859] |
[a1,a2,a3,a4,a6] |
Generators |
[7455:630406:1] |
Generators of the group modulo torsion |
j |
-464245965066884560561/790125654269952000 |
j-invariant |
L |
5.010205119688 |
L(r)(E,1)/r! |
Ω |
0.064998401307766 |
Real period |
R |
4.8176234064906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014554 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030bg1 |
Quadratic twists by: -3 |